Question

The coordinate grid below shows triangle ABC and it's image after translation, triangle A'B'C':

Which of the following completes the rule for this translation, (x,y)>(x+4,__)?

y+4
y+2
y-4
y-2

Answer 1

y+4 would complete the rule for this translation.

Answer 2

First option : y+4

Explanation:

Given triangle ABC and a translated triangle A'B'C'.

Coordinates of triangle ABC are

A(-1,-1)

B(-3,-3) and

C(2,-2).

Coordinates of triangle A'B'C' are

A'(3,3)

B'(1,1)

C'(6,2).

Let us check the translation is being applied there.

A(-1,-1) ---> A'(3,3)

We can see that A(-1,-1) ----> A'(-1+4, -1+4) to get (3,3).

Therefore, (x,y) ---> (x+4,y+4) rule is being applied there to get the translated triangle A'B'C'.

So, the correct option is first option:

y+4